diff --git a/test/e2e/upgrades/statefulset.go b/test/e2e/upgrades/statefulset.go
index eea3a203d91..14c8ff11450 100644
--- a/test/e2e/upgrades/statefulset.go
+++ b/test/e2e/upgrades/statefulset.go
@@ -22,6 +22,7 @@ import (
 
 	"k8s.io/kubernetes/pkg/api/v1"
 	apps "k8s.io/kubernetes/pkg/apis/apps/v1beta1"
+	"k8s.io/kubernetes/pkg/util/version"
 
 	"k8s.io/kubernetes/test/e2e/framework"
 )
@@ -35,6 +36,17 @@ type StatefulSetUpgradeTest struct {
 
 func (StatefulSetUpgradeTest) Name() string { return "statefulset-upgrade" }
 
+func (StatefulSetUpgradeTest) SkipVersions(versions ...version.Version) bool {
+	minVersion := version.MustParseSemantic("1.5.0")
+
+	for _, v := range versions {
+		if v.LessThan(minVersion) {
+			return true
+		}
+	}
+	return false
+}
+
 // Setup creates a StatefulSet and a HeadlessService. It verifies the basic SatefulSet properties
 func (t *StatefulSetUpgradeTest) Setup(f *framework.Framework) {
 	ssName := "ss"